منابع مشابه
Deformed Symmetry in Snyder Space and Relativistic Particle Dynamics
We describe the deformed Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these deformed symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the deformed symmetries with the usual (u...
متن کاملTwisted Symmetry in Snyder Space and Relativistic Particle Dynamics
We describe the twisted Poincare-conformal symmetries implying the covariance of the noncommutative space obeying Snyder’s algebra. Relativistic particle models invariant under these twisted symmetries are presented. A gauge (reparametrisation) independent derivation of Snyder’s algebra from such models is given. The algebraic transformations relating the twisted symmetries with the usual (untw...
متن کاملThe Area Quantum and Snyder Space
We show that in the Snyder space the area of the disc and of the sphere can be quantized. It is also shown that the area spectrum of the sphere can be related to the Bekenstein conjecture for the area spectrum of a black hole horizon.
متن کاملParticle-vortex Dynamics in Noncommutative Space
We study the problem of a charged particle in the presence of a uniform magnetic field plus a vortex in noncommutative planar space considering the two possible non-commutative extensions of the corresponding Hamiltonian, namely the " fundamental " and the " antifundamental " representations. Using a Fock space formalism we construct eigenfunctions and eigenvalues finding in each case half of t...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 2012
ISSN: 0550-3213
DOI: 10.1016/j.nuclphysb.2012.02.012